Least Common Multiple of 10139 and 10143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10139 and 10143 the smallest integer that is 102839877 that is divisible by both numbers.

Least Common Multiple (LCM) of 10139 and 10143 is 102839877.

LCM(10139,10143) = 102839877

LCM of 10139 and 10143

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 10139 and 10143

LCM of 10139 and 10143 is 102839877

Least common multiple can be found by multiplying the highest exponent prime factors of 10139 and 10143. First we will calculate the prime factors of 10139 and 10143.

Prime Factorization of 10139


10139 10139
1

Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:

10139 = 101391

Prime Factorization of 10143


3 10143
3 3381
7 1127
7 161
23 23
1

Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:

10143 = 32×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 10139 and 10143.

LCM(10139,10143) = 32×72×231×101391
LCM(10139,10143) = 102839877

Factors of 10139

List of positive integer factors of 10139 that divides 10139 without a remainder.

1, 10139

Factors of 10143

List of positive integer factors of 10143 that divides 10143 without a remainder.

1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143

Least Common Multiple of 10139 and 10143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10139 and 10143, than apply into the LCM equation.

GCF(10139,10143) = 1
LCM(10139,10143) = ( 10139 × 10143) / 1
LCM(10139,10143) = 102839877 / 1
LCM(10139,10143) = 102839877

Properties of LCM 10139 and 10143

(i) The LCM of 10143 and 10139 is associative

LCM of 10139 and 10143 = LCM of 10143 and 10139

Related Least Common Multiples of 10139

Related Least Common Multiples of 10143

Frequently Asked Questions on LCM of 10139 and 10143

1. What is the LCM of 10139 and 10143?

Answer: LCM of 10139 and 10143 is 102839877.

2. What are the Factors of 10139?

Answer: Factors of 10139 are 1, 10139. There are 2 integers that are factors of 10139. The greatest factor of 10139 is 10139.

3. What are the Factors of 10143?

Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.

4. How to Find the LCM of 10139 and 10143?

Answer:

Least Common Multiple of 10139 and 10143 = 102839877

Step 1: Find the prime factorization of 10139

10139 = 10139

Step 2: Find the prime factorization of 10143

10143 = 3 x 3 x 7 x 7 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 102839877 = 3 x 3 x 7 x 7 x 23 x 10139

Step 4: Therefore, the least common multiple of 10139 and 10143 is 102839877.